question_answer 17)

Write as fractions in lowest terms. (a) 0.60 (b) 0.05 (c) 0.75 (d) 0.18 (e) 0.25 (f) 0.125 (g) 0.066 TIPS Firstly, write the given decimal as a fraction with denominator 10,100 or 1000 (10 for tenths, 100 for hundredths and 1000 for thousandths) and then divide numerator and denominator by their HCF to write in lowest form.

Answer:

(a) We have, \[93mm=93\times \frac{1}{10}cm=\frac{93}{10}cm=9.3cm\] [\[1000m=1km\]HCF of 60 and 100 = 20] (b) We have, \[\therefore \] [\[1m=\frac{1}{1000}km=0.001km\]HCF of 5 and 100 = 5] (c) We have, \[\frac{1}{1000}\] [\[\frac{1}{10}\]HCF of 75 and 100 = 25] (d) We have, \[\frac{11}{5}=\frac{11\times 2}{5\times 2}\] [\[=\frac{22}{10}=2.2\]HCF of 18 and 100 = 2] (e) We have, \[1.2=\frac{12}{10}=\frac{6}{5}\] [\[\frac{1}{100}\]HCF of 25 and 100 = 25] (f) We have, \[\left( \frac{1}{100} \right).\] [\[\frac{1}{10}.\]HCF of 125 and 1000 = 125] (g) We have,\[\therefore \] [\[\frac{1}{100}=\]HCF of 66 and 1000 = 2]